Once you have understand the symbols, notation and language of mathematics, then you have to put it all together in a logical form. The concept of proof is central - and unique - to mathematics. Proof requires clear logical thinking. To help the clarity of your written work, pay attention to how you arrange things on the page. Work down the page rather than across. Use one line for each step. Line up things like "equals" or "implies" symbols as you work down the page so that the flow of the mathematics is as clear as possible.